Serving the Quantitative Finance Community

 
User avatar
Doubtfin
Topic Author
Posts: 0
Joined: January 19th, 2006, 1:12 pm

digital option pricing

February 14th, 2006, 10:43 am

cheers
Last edited by Doubtfin on February 15th, 2006, 11:00 pm, edited 1 time in total.
 
User avatar
gjk77
Posts: 0
Joined: October 8th, 2005, 6:04 pm

digital option pricing

February 14th, 2006, 12:54 pm

P. Hagan has a paper on this somewhere in the forums. Let V(K) be the value of a call option at strike K. Then the digital option is replicated as close as one likes by (1/eps)[V(K-0.5*eps)-V(K+0.5*eps)] where eps is small, a few basis points. The smaller eps, the closer the call spread is to a digital.